X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Flsubc_drop.ma;h=0e48ce8a3ff4bf4f93c5a1613e4c24b216051d77;hb=33f8507cadd3b36dc9afa227d8968dda66fe2034;hp=9b46f01f0e6856817af2cbbf92d7b5807ef33116;hpb=795ac6cc4ef54b4470b5e2fba287acca440c9c18;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drop.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drop.ma
index 9b46f01f0..0e48ce8a3 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drop.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drop.ma
@@ -15,7 +15,7 @@
 include "basic_2/static/aaa_lift.ma".
 include "basic_2/computation/lsubc.ma".
 
-(* LOCAL ENVIRONMENT REFINEMENT FOR ABSTRACT CANDIDATES OF REDUCIBILITY *****)
+(* LOCAL ENVIRONMENT REFINEMENT FOR GENERIC REDUCIBILITY ********************)
 
 (* Properties concerning basic local environment slicing ********************)
 
@@ -41,11 +41,10 @@ lemma lsubc_drop_O1_trans: ∀RP,G,L1,L2. G ⊢ L1 ⫃[RP] L2 → ∀K2,s,e. ⇩
 qed-.
 
 (* Basic_1: was: csubc_drop_conf_rev *)
-lemma drop_lsubc_trans: ∀RR,RS,RP.
-                        acp RR RS RP → acr RR RS RP RP →
+lemma drop_lsubc_trans: ∀RR,RS,RP. gcp RR RS RP →
                         ∀G,L1,K1,d,e. ⇩[Ⓕ, d, e] L1 ≡ K1 → ∀K2. G ⊢ K1 ⫃[RP] K2 →
                         ∃∃L2. G ⊢ L1 ⫃[RP] L2 & ⇩[Ⓕ, d, e] L2 ≡ K2.
-#RR #RS #RP #Hacp #Hacr #G #L1 #K1 #d #e #H elim H -L1 -K1 -d -e
+#RR #RS #RP #Hgcp #G #L1 #K1 #d #e #H elim H -L1 -K1 -d -e
 [ #d #e #He #X #H elim (lsubc_inv_atom1 … H) -H
   >He /2 width=3 by ex2_intro/
 | #L1 #I #V1 #X #H
@@ -63,9 +62,8 @@ lemma drop_lsubc_trans: ∀RR,RS,RP.
   | #K2 #V #W2 #A #HV2 #H1W2 #H2W2 #HK12 #H1 #H2 #H3 destruct
     elim (lift_inv_flat1 … HV21) -HV21 #W3 #V3 #HW23 #HV3 #H destruct
     elim (IHLK1 … HK12) #K #HL1K #HK2
-    lapply (aacr_acr … Hacp Hacr A) -Hacp -Hacr #HA
-    lapply (s0 … HA … HV2 … HLK1 HV3) -HV2
-    lapply (s0 … HA … H1W2 … HLK1 HW23) -H1W2
+    lapply (gcr_lift … Hgcp … HV2 … HLK1 … HV3) -HV2
+    lapply (gcr_lift … Hgcp … H1W2 … HLK1 … HW23) -H1W2
     /4 width=11 by lsubc_beta, aaa_lift, drop_skip, ex2_intro/
   ]
 ]